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Monte Carlo calculation of volumetric modulated arc therapy and helical tomotherapy dose distributions for stereotactic ablative radiotherapy lung treatments by Jason Belec B.Sc. (University of Ottawa) 2002 M.Sc. (McGill University) 2004 A thesis submitted to the Faculty of Graduate and Postdoctoral Affairs in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Physics Ottawa-Carleton Institute for Physics Department of Physics, Carleton University Ottawa, Ontario Copyright © 2012, Jason Belec 1+1 Library and Archives Bibliotheque et Canada Archives Canada Published Heritage Direction du Branch Patrimoine de I'edition 395 Wellington Street 395, rue Wellington Ottawa ON K1A0N4 Ottawa ON K1A 0N4 Canada Canada Your file Votre reference ISBN: 978-0-494-93664-1 Our file Notre reference ISBN: 978-0-494-93664-1 NOTICE: AVIS: The author has granted a non­ L'auteur a accorde une licence non exclusive exclusive license allowing Library and permettant a la Bibliotheque et Archives Archives Canada to reproduce, Canada de reproduire, publier, archiver, publish, archive, preserve, conserve, sauvegarder, conserver, transmettre au public communicate to the public by par telecommunication ou par I'lnternet, preter, telecommunication or on the Internet, distribuer et vendre des theses partout dans le loan, distrbute and sell theses monde, a des fins commerciales ou autres, sur worldwide, for commercial or non­ support microforme, papier, electronique et/ou commercial purposes, in microform, autres formats. paper, electronic and/or any other formats. The author retains copyright L'auteur conserve la propriete du droit d'auteur ownership and moral rights in this et des droits moraux qui protege cette these. Ni thesis. Neither the thesis nor la these ni des extraits substantiels de celle-ci substantial extracts from it may be ne doivent etre imprimes ou autrement printed or otherwise reproduced reproduits sans son autorisation. without the author's permission. In compliance with the Canadian Conformement a la loi canadienne sur la Privacy Act some supporting forms protection de la vie privee, quelques may have been removed from this formulaires secondaires ont ete enleves de thesis. cette these. While these forms may be included Bien que ces formulaires aient inclus dans in the document page count, their la pagination, il n'y aura aucun contenu removal does not represent any loss manquant. of content from the thesis. Canada Abstract The aim of this study was to calculate realistic dose distributions that include the continuous deformation of organs and motion of treatment units using four dimensional Monte Carlo methods for both volumetric modulated arc therapy and helical tomotherapy stereotactic ablative radiotherapy lung treatments. We present a method to perform position-probability-sampled Monte Carlo dose calculations in the BEAMnrc and DOSXZYnrc user codes of EGSnrc. The method includes full accelerator head simulation of conventional and helical tomotherapy treatment units and a realistic representation of machine continuous motion via the sampling of a time variable. The method simplifies the simulation process, improves the dose calculation accuracy and involves an acceptably small change in computation time. Absolute dose agreement for static fields between Monte Carlo calculations and measurements is within 2 % /1 mm. Absolute dose agreement between Monte Carlo and treatment planning system for four types of treatment techniques (3D-conformal radiotherapy, step-shoot intensity modulation radiotherapy, helical tomotherapy and volumetric modulated arc therapy) was determined to be within 3 % / 3 mm. We also present a method to modify the DOSXYZnrc user code to account for the continuous intra-fraction deformation of the patient geometry. We implemented two methods in the user code (density interpolation, density mapping) to update the patient geometry (transport grid densities) as a function of time and two methods (voxel average, voxel center) to map back the energy deposited in the time dependant transport grid to a reference grid. We also provide examples of mathematical phantom tests and experimental measurements used to validate the implementation of these methods. Finally, we present an example of the application of the method for stereotactic ablative radiotherapy lung treatments with intra-fraction motion. The results show that breathing motion is appropriately addressed with the internal target volume method for the cases studied. For both helical tomotherapy and volumetric modulated arc therapy stereotactic ablative radiotherapy lung treatments, the impact of interplay effects for prescription doses of 54 Gy or 60 Gy resulted in a change of the target dose volume histogram of less than 2 Gy scored at 10 % and 90% of the volume. Acknowledgements The research for this thesis was performed under the auspices of the Carleton University Physics Department and the Ottawa Hospital Cancer Center Medical Physics Department. I would like to express my gratitude to my supervisor, Dr Brenda Clark, for her continued guidance, support and encouragement throughout this project. I would also like to thank several Carleton University physics professors (Dr Paul Johns, Dr Gerald Oakham and Dr Manuella Vincter) for teaching me about physics and striving to get the best out of their students. I would like to thank Blake Walters and Ali Elsayed for very helpful discussion regarding the BEAMnrc and DOSXYZnrc user codes, Jason Smale and Dr Jason Pantarotto for useful discussion, Dr Dave Rogers for allowing access to the physics computation cluster and G. Wilson for supplying the iCom listening software. I also acknowledge Elekta AB for funding this work and supplying technical details used in the accelerator modeling. I would also like to thank the entire medical physics staff at the Ottawa Hospital Cancer Center who have always been eager to help. In particular, I am grateful to Dr Nicolas Ploquin and Dr Dan La Russa whose assistance was important. Last, but not least, I must thank my parents, Suzanne and Yvon, for their continuous encouragements and support. I also want to thank the love of my life, Isabelle, for all the support she has given me over the past few years. Finally, I also thank my three beautiful children (Loic, Anne-Sophie and Elliot) for the long sleepless nights. Statement of originality This thesis describes the results of the author's research conducted primarily at the Ottawa Hospital Cancer Centre during the course of the Ph.D. program of Carleton University. Most of these results have been published or submitted in either the Medical Physics or Physics in Medicine and Biology journals, and have been presented at both national and international conferences. The details of where the results of these publications may be found in the thesis, together with the author's contributions, are provided below: PAPER I: J. Belec, N. Ploquin, D. J. La Russa, B. G. Clark: Position-probability-sampled Monte Carlo calculation of VMAT, 3DCRT, step-shoot IMRT, and helical tomotherapy dose distributions using BEAMnrc/DOSXYZnrc Med. Phys. 38, 948 (2011) The results of this paper constitute a part of Chapter 2 which discusses Monte Carlo modeling of accelerator head and external beam radiation treatment delivery. The author performed all of the work, prepared the manuscript for publication, and made the necessary revisions following the review process, all under the supervision of Dr. Brenda Clark. The results from this paper were also presented by the author at the 2010 COMP conference (oral presentation). Dr N. Ploquin provided assistance with the use of the Monaco treatment planning system and Dr D. J. La Russa provided assistance with the compilation of the BEAMnrc / DOSXYZnrc shared library mode. PAPER II: (submitted) J. Belec, B. G. Clark: Monte Carlo calculation of VMAT and helical tomotherapy dose distributions for lung stereotactic treatments with intra-fraction motion Phys. Med. Biol. (2012) The results of this paper constitute a part of Chapter 3 and Chapter 4 which discusses Monte Carlo modeling of patient deformation. The author performed all of the measurements and prepared the manuscript for publication under the supervision of Dr. Brenda Clark. The results from this paper were also presented by the author at the 2011 AAPM conference (oral presentation). Table of Contents Abstract...................................................................................................................................ii Acknowledgements...............................................................................................................iv Statement of originality..........................................................................................................v Table of Contents.................................................................................................................vii List of Tables.........................................................................................................................ix List of figures..........................................................................................................................x Abbreviations....................................................................................................................xviii 1 Background......................................................................................................................1 1.1 Introduction..............................................................................................................1 1.2 Radiation therapy....................................................................................................1 1.3 Treatment delivery..................................................................................................2 1.3.1 Conventional treatment unit...........................................................................2 1.3.2 Helical tomotherapy treatment unit...............................................................4 1.3.3 Robotic treatment unit....................................................................................7 1.4 Dose distributions...................................................................................................9 1.4.1 Representation of dose distributions..............................................................9 1.4.2 Measurements of dose distributions.............................................................12 1.4.3 Calculations of dose distributions................................................................25 1.5 Stereotactic ablative radiotherapy (SABR) lung treatment................................34 1.6 Patient motion.......................................................................................................38 1.6.1 Setup motion.................................................................................................38 1.6.2 Image registration.........................................................................................39 1.6.3 Respiratory motion.......................................................................................43 1.7 Thesis outline........................................................................................................49 2 Treatment unit modeling...............................................................................................52 2.1 Introduction...........................................................................................................52 2.2 Materials and method............................................................................................56 2.2.1 Modifications to BEAMnrc/DOSXYZnrc..................................................56 2.2.2 User interface................................................................................................59 2.2.3 Monte Carlo model of a conventional treatment unit.................................64 2.2.4 Monte Carlo model of a HT treatment unit................................................68 2.2.5 Measurements for validating the Monte Carlo models...............................73 2.2.6 Treatment planning systems........................................................................74 2.3 Results....................................................................................................................75 2.3.1 Modifications to BEAMnrc/DOSXYZnrc..................................................75 2.3.2 Validation of the MC model of a conventional treatment unit...................77 2.3.3 Validation of the MC model of a HT treatment unit..................................88 2.3.4 Testing the MC model of a conventional treatment unit............................93 2.3.5 Testing the MC model of a HT treatment unit............................................97 2.4 Discussion............................................................................................................100 2.5 Conclusion...........................................................................................................104 3 Patient modeling..........................................................................................................106 3.1 Introduction.........................................................................................................106 3.2 Materials and methods........................................................................................106 3.2.1 Patient geometry........................................................................................106 3.2.2 Registration of energy deposition...............................................................115 3.2.3 Validation....................................................................................................121 3.3 Results................................................... 127 3.4 Discussion...........................................................................................................128 3.5 Conclusion..........................................................................................................132 4 SABR lung treatment planning study.........................................................................134 4.1 Introduction.........................................................................................................134 4.2 Materials and method..........................................................................................135 4.3 Results and Discussion.......................................................................................136 4.4 Discussion and conclusion.................................................................................140 5 Summary......................................................................................................................149 6 References...................................................................................................................152 viii List of Tables Table 1 Effective atomic number Zeff, number of electrons per gram pe and mass density pm of the phantom materials (Kron, 1999)...........................................................................24 Table 2 Overview of patient characteristics used to study the impact of intra-fraction motion in SABR lung treatments. The tumour-isocentre distance is specific to helical tomotherapy and represents the distance between the machine isocenter (center of a transverse CT image) and the location of the tumor center (GTV centroid). A larger tumor-isocentre distance increase the impact of gantry angle discretization as explained in figure 2.11. (Source: Paper II)......................................................................................137

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